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lorasvet [3.4K]
4 years ago
5

Discrete Math (MACM 101 Question)

Mathematics
1 answer:
Rzqust [24]4 years ago
7 0
r is the number of objects from the total n objects that you want to permute.

For example, if I have the set of characters \{a,b,c,d\}, I can choose to permute any of up to 4 of the characters. Suppose I take just 2 of them. Then the formula predicts I should find {}_4P_2=\dfrac{4!}{(4-2)!}=\dfrac{24}2=12 possible permutations. Indeed, these are

\begin{matrix}ab&ac&ad\\ba&bc&bd\\ca&cb&cd\\da&db&dc\end{matrix}
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Mr. Lee left his fortune to his 3 sons, 4 daughters and his wife. Each son received twice as much as each daughter and his wife
ivolga24 [154]

Hey there! :)

Answer:

$3600.

Step-by-step explanation:

If the wife received $6000 which is a quarter of the money, solve for the total amount of the fortune:

1/4x = 6000

Multiply both sides by 4:

x = $24000

We can begin by subtracting the wife's amount from the total:

24000 - 6000 = $18000

He has 3 sons and 4 daughters. Let 'x' represent the amount the daughters received, and '2x' the amount the sons received.

18000 = 3(2x) + 4(x)

Distribute and combine the terms:

18000 = 6x + 4x

18000 = 10x

Divide both sides by 10:

18000/10 = 10x/10

x = $1800. This is the amount that each daughter receives. Since the sons receive '2x':

2(1800) = $3600.

6 0
3 years ago
Solve the equation: 7 equals p over 5
Y_Kistochka [10]

Answer:

p = 35

Step-by-step explanation:

7 = p/5

Multiply both sides by 5.

35 = p

p = 35

6 0
3 years ago
Read 2 more answers
Solve the following system by graphing. If there​ isn't a unique solution to the​ system, state the reason. y=-2x y=2x+4
natka813 [3]

Answer:

We have the system of equations:

y = -2*x

y = 2*x + 4.

To solve it by graphing, you need to graph both lines and see in which point the lines intersect each other.

You can see it in the image below. (blue is y = 2*x + 4, and green is y = -2*x)

We also can calculate the solution with math, let's do that:

y = -2*x

y = 2*x + 4.

We can replace the first equation in the second one, to get:

-2*x = 2*x + 4

Now let's solve this for x

-2*x -2*x = 4

-4*x = 4

x = 4/-4 = -1

Evaluating this in one of the equations we get:

y = -2*-1 = 2

Then the solution is the point (-1, 2), exactly what we can see in the graph.

3 0
3 years ago
PLEASE ANSWER ASAP!!! YOUR ANSWER MUST INCLUDE AN EXPLANATION IN ORDER TO RECEIVE POINTS AND THE BRAINLIEST ANSWER! THANKS!!!
marishachu [46]
Solutions 

29\pi / 18 Radians = 29 x <span>\pi / 18 

Replace </span><span>\pi  with 180 

Now we have 

29 x 180 / 18 

29 x 180 = 5220 

5220 / 18 

= 290</span>°
8 0
3 years ago
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Point M is located at 6,7).
Karo-lina-s [1.5K]
A because it helps you answer
7 0
3 years ago
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